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The real number k for which the equation, 2x^2+3x+k = 0  has two distinct real roots in \left [ 0,1 \right ]

 

 

  • Option 1)

    does not exist.

  • Option 2)

    lies between 1 and 2 .

  • Option 3)

    lies between 2 and 3 .

  • Option 4)

    lies between -1 and 0 .

 

Answers (2)

best_answer

As we have learned

Quadratic Expression Graph when a> 0 & D > 0 -

Real and distinct roots of

f\left ( x \right )= ax^{2}+bx+c

& D= b^{2}-4ac

- wherein

 

 

\frac{-b}{2a}=-3/4    is the abscissa of vertex 

and , it should lie in(0,1 ) but it's not true 

S, no value of 'k' exists

 

 

 

 

 


Option 1)

does not exist.

Option 2)

lies between 1 and 2 .

Option 3)

lies between 2 and 3 .

Option 4)

lies between -1 and 0 .

Posted by

Himanshu

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